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Finding the Fourth Proportional to 489,044.40, 733,998.60 and 289,114.80

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Solution

The fourth proportional to 489,044.40, 733,998.60 and 289,114.80 is: 433,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,044.40 : 733,998.60 = 289,114.80 : x
  2. Step 2: Convert to fraction form
    489,044.40/733,998.60 = 289,114.80/x
  3. Step 3: Cross multiply
    489,044.40x = 733,998.60 × 289,114.80
  4. Step 4: Simplify right side
    489,044.40x = 212,209,858,439.28
  5. Step 5: Solve for x
    x = 212,209,858,439.28/489,044.40
  6. Step 6: Final answer
    x = 433,927.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.